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Finding the Fourth Proportional to 9,964.95, 13,751.53 and 5,488.60

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Solution

The fourth proportional to 9,964.95, 13,751.53 and 5,488.60 is: 7,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.95 : 13,751.53 = 5,488.60 : x
  2. Step 2: Convert to fraction form
    9,964.95/13,751.53 = 5,488.60/x
  3. Step 3: Cross multiply
    9,964.95x = 13,751.53 × 5,488.60
  4. Step 4: Simplify right side
    9,964.95x = 75,476,656.12
  5. Step 5: Solve for x
    x = 75,476,656.12/9,964.95
  6. Step 6: Final answer
    x = 7,574.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.